Abstract
In this paper we study common fixed point properties of non-linear actions of semi-topological semigroups on non-void weak* compact convex sets in dual Banach spaces. Among other things, we derive from our main result Theorem 1, the existence of a common fixed point property for semigroups of non-expansive mappings acting on non-empty weakly compact convex sets, generalizing a result of Hsu [13], Mitchell [25].
Citation
Khadime Salame. "Fixed point properties for semigroups of non-expansive mappings in conjugate Banach spaces." Bull. Belg. Math. Soc. Simon Stevin 23 (4) 529 - 544, november 2016. https://doi.org/10.36045/bbms/1480993585
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